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riadik2000 [5.3K]
3 years ago
11

If f(x) is a third degree polynomial function how many distinc complex rules are possible ?

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
5 0

Answer:

2

Step-by-step explanation:

According to the fundamental theorem of Algebra

A polynomial of degree 3 has 3 roots

However, complex roots occur in conjugate pairs, hence

There can only be 2 distinct complex roots.

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Dan used 942 units of electricity from July to October.
Maksim231197 [3]

Answer:

89n

Step-by-step explanation:)

7 0
3 years ago
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What is 4X + 1/2(4X +6)=12
beks73 [17]

Answer:

x = 3/2

Step-by-step explanation:

4X + 1/2(4X +6)=12

Distribute

4x+2x+3 = 12

6x +3 = 12

Subtract 3 from each side

6x+3-3 = 12 -3

6x = 9

Divide each side by 6

6x/6 = 9/6

x = 3/2

7 0
3 years ago
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Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.
riadik2000 [5.3K]
<span>First of all to calculate the distance between two points we can use distance formula
   
d=Square Root [(x2-x1)^2 + (y2-y1)^2]
   
Now substitute the given points p(x1,y1) and q(x2,y2)in above distance formula
   
The values are X2=3, X1=8and Y2=8and Y1=2.
   
After Substituting the values
   
d=Square Root[(-5)^2+(6)^2]
   
d=Square Root(25+36]
   
d=Square Root[61]
   
d=7.8
   
7.8 is the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.</span>
7 0
4 years ago
Which equation represents a parabola that has a focus of (0, 0) and a directrix of y=−6 ?
Yuki888 [10]
Take any point (x,y) on the line 
distance between (x,y) and the focus = distance from the point to the directrix
s sqrt(x^2 + y^2)  = |x - (-6)|

x^2 + y^2 = x^2 + 12x + 36
y^2 = 12x + 36

that is the required equation
6 0
3 years ago
Find the surface area of the following cylinder in cubic inches.
Gre4nikov [31]

Answer:

Option A is correct

703.36 square inches.

Step-by-step explanation:

Surface area(A) of cylinder is given by:

A=2\pi r (h+r)            ....[1]

where,

r is the radius of the cylinder and h is the height of the cylinder.

As per the statement:

From the given figure:

h = 0.5 ft and r = 8 inches.

Convert ft into inches.

1 ft  = 12 inches

then

in 0.5 ft = inches

Substitute the given values and use \pi = 3.14 in [1] we have;

A = 2 \cdot 3.14 \cdot 8 \cdot (6+8) = 50.24 \cdot 14

Simplify:

A = 703.36 \text{in}^2

Therefore, the surface area of the following cylinder is, 703.36 square inches.

8 0
3 years ago
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